What is this expression in simplified form?
A. 64√50
B. 16√50
C. 80√2
D. 320√2
What is this expression in simplified form?
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What is this expression in simplified form?
A. 64√50
B. 16√50
C. 80√2
D. 320√2
To simplify ( 64sqrt{50} ), we can break down the square root and factor out any perfect squares.
1. Start with ( sqrt{50} ):
[
sqrt{50} = sqrt{25 times 2} = sqrt{25} times sqrt{2} = 5sqrt{2}
]
2. Now substitute this back into the original expression:
[
64sqrt{50} = 64 times 5sqrt{2} = 320sqrt{2}
]
Thus, the simplified form of ( 64sqrt{50} ) is ( 320sqrt{2} ).
The correct answer is D. ( 320sqrt{2} ).